Simple systems of roots in $L^{\ast }$-algebras
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- by V. K. Balachandran PDF
- Trans. Amer. Math. Soc. 130 (1968), 513-524 Request permission
References
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V. K. Balachandran, The Weyl group of an ${L^\ast }$-algebra, Math. Ann. 154 (1964), 157-165.
V. K. Balachandran and P. R. Parthasarathy, Cartan subalgebras of an ${L^\ast }$-algebra, Math. Ann. 166 (1966), 300-301.
H. Freudenthal, Lie groups, Mimeographed lecture notes, Yale Univ., New Haven, Conn., 1961.
S. Helgason, Differential geometry and symmetric spaces, Academic Press, New York, 1962.
N. Jacobson, Lie algebras, Interscience, New York, 1962.
I. Satake, On a theorem of E. Cartan, J. Math. Soc. Japan 2 (1951), 284-305.
J. R. Schue, Hilbert space methods in the theory of Lie algebras, Trans. Amer. Math. Soc. 95 (1960), 69-80.
—, Cartan decompositions for ${L^\ast }$-algebras, Trans. Amer. Math. Soc. 98 (1961), 334-349.
Additional Information
- © Copyright 1968 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 130 (1968), 513-524
- MSC: Primary 17.30; Secondary 22.00
- DOI: https://doi.org/10.1090/S0002-9947-1968-0231871-6
- MathSciNet review: 0231871